830720880 has 160 divisors (see below), whose sum is σ = 3121585920. Its totient is φ = 201381120.

The previous prime is 830720879. The next prime is 830720881. The reversal of 830720880 is 88027038.

It is an interprime number because it is at equal distance from previous prime (830720879) and next prime (830720881).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830720881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6279 + ... + 41241.

It is an arithmetic number, because the mean of its divisors is an integer number (19509912).

Almost surely, 2^830720880 is an apocalyptic number.

830720880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830720880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560792960).

830720880 is an abundant number, since it is smaller than the sum of its proper divisors (2290865040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830720880 is a wasteful number, since it uses less digits than its factorization.

830720880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34996 (or 34984 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 830720880 is about 28822.2289214419. The cubic root of 830720880 is about 940.0516344052.

The spelling of 830720880 in words is "eight hundred thirty million, seven hundred twenty thousand, eight hundred eighty".